Semi-holographic Fermi liquids

By T. Faulkner, J. Polchinski. 2010

221 citations recorded by the source corpus.

We show that the universal physics of recent holographic non-Fermi liquid models is captured by a semi-holographic description, in which a dynamical boundary field is coupled to a strongly coupled conformal sector having a gravity dual. This allows various generalizations, such as a dynamical exponent and lattice and impurity effects. We examine possible relevant deformations, including multi-trace terms and spin-orbit effects. We discuss the matching onto the UV theory of the earlier work, and an alternate description in which the boundary field is integrated out.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/8359e8fe995a1549c4a307b2a07a76e9dbc38232

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

1. D. Harlow
2. D. Stanford
3. R. Myers
4. S. Hartnoll
5. S. Sachdev
6. J. Maldacena
7. V. Hubeny
8. T. Takayanagi

In Statistical and Nonlinear Physics

1. D. Harlow
2. D. Stanford
3. S. Sachdev
4. V. Hubeny
5. S. Raju
6. R. Myers
7. J. Maldacena
8. D. Marolf

Citations in the corpus

• Hidden Fermi surfaces in compressible states of gauge-gravity duality (2011, background): “[8] T.”
• Holographic Quantum Matter (2016, background): “The Green’s function (340) can be understood from what was termed a ‘semi-holographic’ perspective in [257].”
• Bekenstein-Hawking Entropy and Strange Metals (2015, background): “We turn next to the holographic implications of this solution at low energy [13, 26, 36], which is controlled by the near-horizon geometry.”
• Semi-local quantum liquids (2011, background): “fermionic degrees of freedom in the SLQL [14, 23, 42].”
• Holographic and Wilsonian renormalization groups (2010, background): “More generally, the monotonicity of the energy with radius will break down, for example in multi-throated solutions corresponding to breaking of U(N) to a product of smaller U(M)’s, and in semi-holographic situations where there are massless degrees of freedom in a region of finite warp factor [19].”
• Introduction to holographic superconductor models (2015, methodology): “In addition to holographic superconductors, the holographic approach has been used to understand some other aspects of condensed matter physics, including (non)Fermi liquids [206, 207, 208, 209, 210], quantum Hall effect [211, 212, 213], strange metals [214, 215, 216, 217], topological insulators [2”
• Integrating out geometry: holographic Wilsonian RG and the membrane paradigm (2010, background): “Once again this leads to Fermi surfaces for spinors [36] and quantum phase transitions for scalars as described recently in [48].”
• Evolution of holographic entanglement entropy after thermal and electromagnetic quenches (2010, background): “It is tempting to speculate that for our electromagnetic quench, the growth of entropy in the intermediate region might be captured by an effective lower-dimensional theory captured by AdS2 physics, as has been shown to happen for aspects of the physics of studying Fermi surfaces holographically in ”
• Wilsonian approach to fluid/gravity duality (2010, background): “For example, in a recent talk [39], Polchinski drew a line at the inner (IR) boundary of the AdS region and threw the AdS region out because it was irrelevant to the IR physics under consideration.”
• Lectures on holographic non-Fermi liquids and quantum phase transitions (2011, unknown): “75) based on simple dimensional analysis [43].”
• Translationally Invariant Non-Fermi-Liquid Metals with Critical Fermi Surfaces: Solvable Models (2018, background): “[110], although of course the details are very different.”
• Holographic Fermi and non-Fermi liquids with transitions in dilaton gravity (2011, background): “The behaviour of a bulk fermion in an extremal black brane solution of the type studied in [13], [14], was analyzed in [17], [18].”
• An apologia for firewalls (2013, background): “This can be achieved by promoting the boundary source β to a dynamical variable while also adding by hand some independent dynamics for this new field; see e.g. [59, 60, 61, 62, 63, 64] for related constructions.”
• Electron stars for holographic metallic criticality (2010, unknown): “This perspective suggests that in the bulk one should focus on the near horizon region of the geometry, as argued most explicitly in [59, 60].”